924 114644 `GENG205` Demonstrate knowledge of trade calculations and units for mechanical engineering trades

People credited with this unit standard are able to carry out arithmetic, algebraic, and trigonometric operations, use tables and graphs, and define and use quantities and units.

414 `CH3421` Certificate in Carpentry Level 4 3.0 2 30.0 Carry out arithmetic and algebraic operations. 1.1 Basic arithmetic operations are carried out. Range: operations – addition, subtraction, multiplication, and division of whole and decimal numbers. 1.2 Fractions are converted to decimals and percentages, and vice-versa. 1.3 Multiples are expressed to the power of 10 and vice-versa. Range: mega, kilo, unit, deci, centi, milli, micro. 1.4 Calculator is used for engineering calculations. Range: calculations involving addition, subtraction, multiplication, division, square, square root, cube, sine, cosine, tangent. 1.5 Area and volume calculations are carried out for simple two and three dimensional shapes using given data. Range: area – square, oblong rectangle, triangle, circle; volume – box, cylinder, cone. 1.6 Given formulae are transposed to solve for an unknown quantity. Range: formulae – as used in basic mechanics. See Special Note 5 for typical formulae. Carry out trigonometric operations. 2.1 Lengths and angles are calculated in right-angle triangles. Range: calculations using Pythagoras? theorem and basic trigonometry involving sine, cosine, and tangent. Use tables and graphs. Range: graphs of mechanical engineering functions with two sets of curves on common axis. 3.1 Graphs are sketched from tabular data on graph paper. 3.2 Tables are constructed by reading values from given graphs. Define and use quantities and units. 4.1 Unit names and symbols are matched to the corresponding quantities. Range: SI base quantities – length, mass, temperature, time; SI derived quantities – area, volume, speed, velocity, acceleration, angular velocity, force, torque, energy, work, power, efficiency, pressure; other quantities – rotational speed, torque, efficiency. Evidence is required for ten quantities. 4.2 Quantities are defined in terms of more elementary quantities. Range: speed, velocity, area, volume, force, pressure, work, power, rotational speed, torque, efficiency. Evidence is required for six quantities. 4.3 The difference between mass and weight is explained. 4.4 Values of quantities are re-stated using different SI prefixes. Range: for instance – 2049 mm = 2.049 m, 0.055 mm = 55 µm, 234 Pa = 0.234 kPa. Evidence is required for at least three re-statements using different units and prefixes. 4.5 Values of quantities expressed in imperial units are converted to metric and vice versa. Range: conversions between – ft and mm, in and mm, in and µm, lb and kg, lb/in 2 and Pa, °F and °C. Conversion factors shall be supplied for assessment.